Unsupervised 3D Shape Completion Through GAN Inversion

Minimum Matching Distance (MMD) [1] measures the fidelity of a set of generated shapes S c with respect to the set of ground truth shapes S gt . Specifically, we match every shape x gt in S gt to the generated shape x c in S c with minimum distance, and report the average macthed distance. Earth Mover's Distance (EMD) [10] is the solution, i.e., the minimum cost, to transport one shape's point cloud to another. It is defined in Eq. ( 1 ), where φ is a bijection. The bijection is highly indicative of uniformity of the generated shapes. We use the implementation provided by MSN [8].